%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : KLE086+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:58:18 PM UTC 2026
% Result : Theorem 0.12s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE086+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36 % Computer : n016.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Sun Sep 20 22:47:22 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.39 fof(f3,axiom,(
% 0.12/0.39 (! [A] : addition(A,zero) = A )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f6,axiom,(
% 0.12/0.39 (! [A] : multiplication(A,one) = A )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f13,axiom,(
% 0.12/0.39 (! [X0] : multiplication(antidomain(X0),X0) = zero )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f15,axiom,(
% 0.12/0.39 (! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f16,axiom,(
% 0.12/0.39 (! [X0] : domain(X0) = antidomain(antidomain(X0)) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f21,conjecture,(
% 0.12/0.39 domain(zero) = zero ),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f22,negated_conjecture,(
% 0.12/0.39 ~(domain(zero) = zero )),
% 0.12/0.39 inference(negated_conjecture,[status(cth)],[f21])).
% 0.12/0.39 fof(f25,plain,(
% 0.12/0.39 ![X0]: (addition(X0,zero)=X0)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.39 fof(f28,plain,(
% 0.12/0.39 ![X0]: (multiplication(X0,one)=X0)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.39 fof(f38,plain,(
% 0.12/0.39 ![X0]: (multiplication(antidomain(X0),X0)=zero)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/0.39 fof(f40,plain,(
% 0.12/0.39 ![X0]: (addition(antidomain(antidomain(X0)),antidomain(X0))=one)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.12/0.39 fof(f41,plain,(
% 0.12/0.39 ![X0]: (domain(X0)=antidomain(antidomain(X0)))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.12/0.39 fof(f46,plain,(
% 0.12/0.39 ~domain(zero)=zero),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f22])).
% 0.12/0.39 fof(f52,plain,(
% 0.12/0.39 ![X0]: (multiplication(domain(X0),antidomain(X0))=zero)),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f41,f38])).
% 0.12/0.39 fof(f63,plain,(
% 0.12/0.39 zero=antidomain(one)),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f38,f28])).
% 0.12/0.39 fof(f69,plain,(
% 0.12/0.39 domain(one)=antidomain(zero)),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f63,f41])).
% 0.12/0.39 fof(f135,plain,(
% 0.12/0.39 ![X0]: (addition(domain(X0),antidomain(X0))=one)),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f41,f40])).
% 0.12/0.39 fof(f138,plain,(
% 0.12/0.39 addition(antidomain(zero),antidomain(one))=one),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f69,f135])).
% 0.12/0.39 fof(f146,plain,(
% 0.12/0.39 addition(antidomain(zero),zero)=one),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f63,f138])).
% 0.12/0.39 fof(f147,plain,(
% 0.12/0.39 antidomain(zero)=one),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f25,f146])).
% 0.12/0.39 fof(f153,plain,(
% 0.12/0.39 multiplication(domain(zero),one)=zero),
% 0.12/0.39 inference(paramodulation,[status(thm)],[f147,f52])).
% 0.12/0.39 fof(f157,plain,(
% 0.12/0.39 domain(zero)=zero),
% 0.12/0.39 inference(forward_demodulation,[status(thm)],[f28,f153])).
% 0.12/0.39 fof(f158,plain,(
% 0.12/0.39 $false),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f157,f46])).
% 0.12/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.41 % Elapsed time: 0.045205 seconds
% 0.12/0.41 % CPU time: 0.145475 seconds
% 0.12/0.41 % Total memory used: 66.947 MB
% 0.12/0.41 % Net memory used: 66.663 MB
%------------------------------------------------------------------------------